Poincare Dairesi Üzerinde Yönlendirilmiş Altyörüngesel Çizgeler

Bu çalışmada, modüler grubun özel bir kongrüans alt grubunun alt yörüngesel çizgeleri araştırıldı ve bu yönlendirilmiş çizgeler Poincare dairesinde çizildi

Directed Suborbital Graphs on the Poincare Disk

In this paper we investigate suborbital graphs of a special congruence subgroup of modular group. And this directed graphs is drawn in Poincare disk.

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  • Akbaş, M. 2001. On suborbital graphs for the modular group. Bull. Lond. Math. Soc., 33: 647-652.
  • Akbaş, M., Başkan, T. 1996. Suborbital graphs for the normalizer of C^ h. Turk. J. Math, 20: 379–387. 0N
  • Beşenk, M. 2016. Connectedness of suborbital graphs for a special subgroup of the modular group. Math. Sci. Appl. E-Notes, 4: 45-54.
  • Beşenk, M., Güler, BÖ., Köroğlu, T. 2016. Orbital graphs for the small residue class of PSL(2,5). Gen. Math. Notes., 37: 20-31.
  • Biggs, NL., White, AT. 1979. Permutation groups and combinatorial structures. Cambridge University Press, Cambridge.
  • Dixon, JD., Mortimer, B. 1996. Permutation groups. SpringerVerlag, New York. Güler, BÖ, Beşenk, M., Değer, A.H., Kader, S. 2011. Elliptic elements and circuits in suborbital graphs. Hacet. J. Math. Stat., 40: 203-210.
  • Güler, BÖ., Köroğlu, T., Şanlı, Z. 2016. Solutions to some congruence equations via suborbital graphs. Springer Plus, 5: 1-11.
  • Jones, GA., Singerman, D.1987. Complex functions: an algebraic and geometric viewpoint, Cambridge University Press, Cambridge.
  • Jones, GA., Singerman, D., Wicks, K. 1991. The modular group and generalized Farey graphs. London. Math. Soc. Lecture Notes Ser., 160: 316-338.
  • Kesicioğlu, Y., Akbaş, M., Beşenk, M. 2013. Connectedness of a Suborbital Graph For Congruence Subgroups. J. Inequal. Appl. 1: 117–124.
  • Köroğlu, T., Güler, BÖ., Şanlı, Z. 2017. Suborbital graphs for Atkin-Lehner group. Turk. J. Math., 41: 235-243.
  • Schoeneberg, B. 1974. Elliptic modular functions. Springer, Berlin.
  • Sims, CC. 1967. Graphs and finite permutation groups. Math. Z., 95: 76-86